Question

The speed of sound in air is 320 ms-1 and in water it is 1600 ms-1. It takes 2.5 s for sound to reach a certain distance from the source placed in air. a. Find the distance. b. How much time will it take for sound to travel the same distance when the source is in water?

Answer 1

Distance covered by the sound in air is 800 meter and the time taken by the sound in water for the same distance is 0.5 seconds.

Step-by-step explanation:

Given:

Speed of sound in air = 320 m/s

Speed of sound in water = 1600 m/s

Time taken to reach certain distance in air = 2.5 sec

a.

We have to find the distance traveled by sound in air.

Distance = Product of speed and time.

⇒
`Distance = Speed* time\ taken`

⇒
`Distance = 320* 2.5`

⇒
`Distance = 800` meters.

b.

Now we have to find how much time the sound will take to travel in water.

⇒ Time = Ratio of distance and speed

⇒
`Time =(distance)/(speed)`

⇒
`Time =(800)/(1600)` ...distance = 800 m and speed = 1600 m/s

⇒
`Time =(1)/(2)`

⇒
`Time =0.5` seconds.

Distance covered by the sound in air is 800 meter and the time taken by the sound in water for the same distance is 0.5 seconds.